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  3. consider the function on the interval (0, 2).f(x)

Consider the function on the interval (0, 2).f(x) = sin(x) cos(x) + 2(a) Find the...

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Calculus

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Consider the function on the interval (0, 2).f(x) = sin(x) cos(x) + 2(a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.)increasingdecreasing(b) Apply the First Derivative Test to identify all relative extrema.relative maxima(x, y) =(smaller x-value)relative minima(x, y) =(x, y) =(x, y) = ((larger x-value)(smaller x-value)(larger x-value)

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